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z-2-z-




Question Number 85191 by sahnaz last updated on 19/Mar/20
∫((z+2)/z)
$$\int\frac{\mathrm{z}+\mathrm{2}}{\mathrm{z}} \\ $$
Answered by sahnaz last updated on 19/Mar/20
dz
$$\mathrm{dz} \\ $$
Answered by MJS last updated on 19/Mar/20
∫((z+2)/z)dz=∫(1+(2/z))dz=∫dz+2∫(dz/z)=  =z+2ln z +C
$$\int\frac{{z}+\mathrm{2}}{{z}}{dz}=\int\left(\mathrm{1}+\frac{\mathrm{2}}{{z}}\right){dz}=\int{dz}+\mathrm{2}\int\frac{{dz}}{{z}}= \\ $$$$={z}+\mathrm{2ln}\:{z}\:+{C} \\ $$

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